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Finding the Fourth Proportional to 532.26, 734.54 and 293.02

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Solution

The fourth proportional to 532.26, 734.54 and 293.02 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 734.54 = 293.02 : x
  2. Step 2: Convert to fraction form
    532.26/734.54 = 293.02/x
  3. Step 3: Cross multiply
    532.26x = 734.54 × 293.02
  4. Step 4: Simplify right side
    532.26x = 215,231.61
  5. Step 5: Solve for x
    x = 215,231.61/532.26
  6. Step 6: Final answer
    x = 404.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.